Homological epimorphisms, compactly generated t-structures and Gorenstein-projective modules.

The aim of this paper is two-fold. Given a recollement ( T′, T, T″, i*, i, i, j, j*, j), where T′, T, T″ are triangulated categories with small coproducts and T is compactly generated. First, the authors show that the BBD-induction of compactly generated t-structures is compactly generated when i preserves compact objects. As a con-sequence, given a ladder ( T′, T, T″, T, T′) of height 2, then the certain BBD-induction of compactly generated t-structures is compactly generated. The authors apply them to the recollements induced by homological ring epimorphisms. This is the first part of their work. Given a recollement ( D( B-Mod), D( A-Mod), D( C-Mod), i*, i, i, j, j*, j) induced by a homological ring epimorphism, the last aim of this work is to show that if A is Gorenstein, B has finite projective dimension and j restricts to D( C-mod), then this recollement induces an unbounded ladder ( B- G proj, A- G proj, C- G proj) of stable categories of finitely generated Gorenstein-projective modules. Some examples are described. [ABSTRACT FROM AUTHOR]